What is the Greatest Common Factor of 33456 and 33472?

Greatest common factor (GCF) of 33456 and 33472 is 16.

GCF(33456,33472) = 16

We will now calculate the prime factors of 33456 and 33472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33456 and 33472.

How to find the GCF of 33456 and 33472?

We will first find the prime factorization of 33456 and 33472. After we will calculate the factors of 33456 and 33472 and find the biggest common factor number .

Step-1: Prime Factorization of 33456

Prime factors of 33456 are 2, 3, 17, 41. Prime factorization of 33456 in exponential form is:

33456 = 2⁴ × 3¹ × 17¹ × 41¹

Step-2: Prime Factorization of 33472

Prime factors of 33472 are 2, 523. Prime factorization of 33472 in exponential form is:

33472 = 2⁶ × 523¹

Step-3: Factors of 33456

List of positive integer factors of 33456 that divides 33456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 41, 48, 51, 68, 82, 102, 123, 136, 164, 204, 246, 272, 328, 408, 492, 656, 697, 816, 984, 1394, 1968, 2091, 2788, 4182, 5576, 8364, 11152, 16728

Step-4: Factors of 33472

List of positive integer factors of 33472 that divides 33456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 523, 1046, 2092, 4184, 8368, 16736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33456 and 33472. The biggest common factor number is the GCF number.
So the greatest common factor 33456 and 33472 is 16.

Also check out the Least Common Multiple of 33456 and 33472